The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Comparison Techniques for Random Walk on Finite Groups
Open accessAbstract
We develop techniques for bounding the rate of convergence of a symmetric random walk on a finite group to the uniform distribution. The techniques gives bounds on the second largest (and other) eigenvalues in terms of the eigenvalues of a comparison chain with known eigenvalues. The techniques yield sharp rates for a host of previously intractable problems on the symmetric group.
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Group representations in probability and statistics
Diaconis, P. (1988) · doi:10.1214/lnms/1215467407 · Cited by 1,381
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Lectures on finite Markov chains
Saloff-Coste, L. (1997) · Lecture Notes in Mathematics · doi:10.1007/bfb0092621 · Cited by 382
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Metadata
- Authors
- Diaconis, P., & Saloff-Coste, L.
- Venue
- The Annals of Probability
- Publisher
- Institute of Mathematical Statistics
- Published
- 1993-10-01
- Volume
- 21
- Issue
- 4
- ISSN
- 0091-1798 (ISSN-L)
- OpenAlex
- W2065163799
- Cited by
- 194
- References
- 1
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Diaconis, P., & Saloff-Coste, L. (1993). Comparison Techniques for Random Walk on Finite Groups. The Annals of Probability. https://doi.org/10.1214/aop/1176989013
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
